Zero is a resonance of every Schottky surface
Spectral Theory
2018-08-29 v1
Abstract
For certain spectral parameters we find explicit eigenfunctions of transfer operators for Schottky surfaces. Comparing the dimension of the eigenspace for the spectral parameter zero with the multiplicity of topological zeros of the Selberg zeta function, we deduce that zero is a resonance of every Schottky surface.
Cite
@article{arxiv.1808.09239,
title = {Zero is a resonance of every Schottky surface},
author = {Alexander Adam and Anke Pohl and Alexander Weiße},
journal= {arXiv preprint arXiv:1808.09239},
year = {2018}
}
Comments
13 pages